Acoustics & Electromagnetics Group | Projects
Simulation of Borehole Acoustic Logging with hp-Adaptive Finite Elements
Accurate numerical simulation of borehole acoustic measurements is of great
relevance to improving the efficacy of acoustic logging techniques and to computationally
estimating elastic formation properties. Such simulations require sound physical
modeling combined with accurate and efficient numerical discretization and solution
techniques.
Monopole source in a borehole surrounded with a homogeneous formation with no tool present. Final coarse hp mesh in the formation.
The objective of this project is to concomitantly model acoustic
wave propagation in fluid-filled borehole coupled with elastic wave propagation
both in the probed rock formation and in the elastic logging tool. To ensure the
accuracy and efficiency of our simulations, we use a self-adaptive finite-element
discretization method enhanced with Perfectly-Matched-Layer spatial-domain truncation.
This work constitutes the first application of automatic hp-adaptivity to a coupled
multi-physics problem, which requires the non-trivial capability of propagating
refinements between acoustics and elasticity subdomains through their common interface.
Computations are carried out in the frequency domain. Subsequently, using
an inverse Fourier transform, frequency-domain solutions are transformed into the
time domain to obtain waveforms at the receiver positions.
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Monopole
Dipole
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